How Long to Read Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry

How Long Does it Take to Read Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry?

It takes the average reader 9 hours and 3 minutes to read Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry by Ye-lin Ou

Assuming a reading speed of 250 words per minute. Learn more

Description

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces.Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics.Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained.This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field.

How long is Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry?

Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry by Ye-lin Ou is 541 pages long, and a total of 135,791 words.

This makes it 183% the length of the average book. It also has 166% more words than the average book.

How Long Does it Take to Read Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 22 minutes to read Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry aloud.

What Reading Level is Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry?

Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry?

Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry by Ye-lin Ou is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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